Cole worked 20 hours and earned $500. How many hours must Cole work in order to earn $700?

Hi! I'm Carriyana!! Glad to help you today! :)

Cole needs to work 28 hrs!!

My steps:

First I did 500/20 and got 25

Then I did 700/25

And ended up with 28

So the answer should be...

28 hours

Step-by-step explanation:

To calculate how many hours Cole must work to earn $700, we must first calculate how much he makes per hour.

This can be done by taking the total amount he earned and dividing by the number of hours:

$500 / 20 hours = $25 an hour

Since we now know how much he makes an hour, we can determine how many hours it takes to earn $700 by using a similar equation to the one above:

Total Money / Total Hours = $ an hour

$700 / Total Hours = $25 an hour

It can be represented algebraically as:

700 / x = 25

Then, solve for x:

(700 / x) * x = (25) * x

700 = 25x

(700) / 25 = (25x) / 25

28 = x

28 hours

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.